A Novel Iterative Thresholding Algorithm for Arctangent Regularization Problem

Zihao He, Qianyu Shu, Jinming Wen, Hing Cheung So

Research output: Chapters, Conference Papers, Creative and Literary WorksRGC 32 - Refereed conference paper (with host publication)peer-review

1 Citation (Scopus)

Abstract

In this work, we derive the proximity operator of an arctangent penalty, which is expressed using hyperbolic functions of sine and cosine. This penalty is then applied to sparse signal recovery, and an efficient arctangent regularization iterative thresholding (ARIT) algorithm is proposed, offering closed-form solutions for the subproblems associated with the arctangent penalty. Extensive experiments are conducted to compare the performance of ARIT with several existing iterative thresholding algorithms, and the results demonstrate that our algorithm achieves the best overall performance in terms of the probability of successful recovery, phase transition and running time. © 2024 IEEE.
Original languageEnglish
Title of host publication2024 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2024 - Proceedings
PublisherIEEE
Pages9651-9655
ISBN (Electronic)9798350344851
ISBN (Print)979-8-3503-4486-8
DOIs
Publication statusPublished - 2024
Event49th IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2024) - COEX, Seoul, Korea, Republic of
Duration: 14 Apr 202419 Apr 2024
https://2024.ieeeicassp.org/

Publication series

NameICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
ISSN (Print)1520-6149
ISSN (Electronic)2379-190X

Conference

Conference49th IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2024)
Country/TerritoryKorea, Republic of
CitySeoul
Period14/04/2419/04/24
Internet address

Research Keywords

  • arctangent regularization
  • Compressed sensing
  • iterative thresholding algorithm

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